Abstract

In accordance with growing scientific interests in nanoplasmonic structures, along with the increasing ability to fabricate them using proper nanotechnologies, we have developed a methodology to incorporate nonlocal optical responses, described with a simple hydrodynamic model, into the numerical Fourier modal method (FMM) technique to enable broadening of the simulation portfolio of such physical phenomena in plasmonic nanostructures. Here, we have newly incorporated the nonlocal response approximation (NRA) into the periodic FMM technique (called NonLocFMM) described with a proper hydrodynamic model, and we show in several examples that this implementation is capable of numerically analyzing periodic plasmonic systems, such as nonlocal periodic multilayers and resonant gratings. The implementation was performed in such a way that a future possible generalization of the hydrodynamic nonlocal description will be feasible, as well as the aperiodization of the technique. Such an extension is, indeed, viable and will be the subject of a subsequent paper.

© 2023 Optica Publishing Group

Modeling the optical Kerr effect in periodic structures by the linear Fourier modal method

Subhajit Bej, Jani Tervo, Yuri P. Svirko, and Jari Turunen
J. Opt. Soc. Am. B 31(10) 2371-2378 (2014)

Fourier modal method formulation for fast analysis of two-dimensional periodic arrays of graphene

Seyed Amir Hossein Nekuee, Amin Khavasi, and Mahmood Akbari
J. Opt. Soc. Am. B 31(5) 987-993 (2014)

Fourier modal method for the analysis of second-harmonic generation in two-dimensionally periodic structures containing anisotropic materials

Benfeng Bai and Jari Turunen
J. Opt. Soc. Am. B 24(5) 1105-1112 (2007)

Modal analysis of diffraction by snake gratings using a tensor product of pseudo-periodic functions and Legendre polynomials

Malalatiana Rinah Rasoamilanto, Manjakavola Honoré Randriamihaja, Lala Bakonirina Andriamanampisoa, Gérard Granet, and Karyl Raniriharinosy
J. Opt. Soc. Am. A 40(8) 1628-1634 (2023)

Aperiodic Fourier modal method in contrast-field formulation for simulation of scattering from finite structures

Maxim Pisarenco, Joseph Maubach, Irwan Setija, and Robert Mattheij
J. Opt. Soc. Am. A 27(11) 2423-2431 (2010)